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144102310440 = 233511109168417
BaseRepresentation
bin1000011000110100101…
…0101100001000101000
3111202221201220211201220
42012031022230020220
54330110142413230
6150111044342040
713260663300024
oct2061512541050
9452851824656
10144102310440
1156127aa7750
1223b176a4920
1310786755a1a
146d903b5384
153b35e55d10
hex218d2ac228

144102310440 has 64 divisors (see below), whose sum is σ = 471607565760. Its totient is φ = 34933893120.

The previous prime is 144102310439. The next prime is 144102310493. The reversal of 144102310440 is 44013201441.

It is a super-2 number, since 2×1441023104402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144102310440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54582889 + ... + 54585528.

It is an arithmetic number, because the mean of its divisors is an integer number (7368868215).

Almost surely, 2144102310440 is an apocalyptic number.

144102310440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144102310440 is an abundant number, since it is smaller than the sum of its proper divisors (327505255320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144102310440 is a wasteful number, since it uses less digits than its factorization.

144102310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109168442 (or 109168438 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 144102310440 its reverse (44013201441), we get a palindrome (188115511881).

The spelling of 144102310440 in words is "one hundred forty-four billion, one hundred two million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 109168417 218336834 327505251 436673668 545842085 655010502 873347336 1091684170 1200852587 1310021004 1637526255 2183368340 2401705174 2620042008 3275052510 3602557761 4366736680 4803410348 6004262935 6550105020 7205115522 9606820696 12008525870 13100210040 14410231044 18012788805 24017051740 28820462088 36025577610 48034103480 72051155220 144102310440